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1004222204424 = 233289331561349
BaseRepresentation
bin11101001110100000100…
…11101100101000001000
310120000001222020122002200
432213100103230220020
5112423121341020144
62045155555000200
7132360363616635
oct16472023545010
93500058218080
101004222204424
1135798528863a
1214275bb99060
137390bc4a15a
14368670bd18c
151b1c727ec69
hexe9d04eca08

1004222204424 has 48 divisors (see below), whose sum is σ = 2720074675500. Its totient is φ = 334703048064.

The previous prime is 1004222204399. The next prime is 1004222204431. The reversal of 1004222204424 is 4244022224001.

1004222204424 is a `hidden beast` number, since 10 + 0 + 4 + 2 + 2 + 220 + 4 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 938414563524 + 65807640900 = 968718^2 + 256530^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137499 + ... + 1423850.

Almost surely, 21004222204424 is an apocalyptic number.

It is an amenable number.

1004222204424 is an abundant number, since it is smaller than the sum of its proper divisors (1715852471076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1004222204424 is a wasteful number, since it uses less digits than its factorization.

1004222204424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570294 (or 1570287 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 1004222204424 its reverse (4244022224001), we get a palindrome (5248244428425).

The spelling of 1004222204424 in words is "one trillion, four billion, two hundred twenty-two million, two hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 8933 17866 26799 35732 53598 71464 80397 107196 160794 214392 321588 643176 1561349 3122698 4684047 6245396 9368094 12490792 14052141 18736188 28104282 37472376 56208564 112417128 13947530617 27895061234 41842591851 55790122468 83685183702 111580244936 125527775553 167370367404 251055551106 334740734808 502111102212 1004222204424